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Finding the Third Proportional to 582,620 and 787,162

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Solution

The third proportional to 582,620 and 787,162 is: 1,063,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,620 : 787,162 = 787,162 : x
  2. Step 2: Convert to fraction form
    582,620/787,162 = 787,162/x
  3. Step 3: Cross multiply
    582,620x = 787,162 × 787,162
  4. Step 4: Simplify right side
    582,620x = 619,624,014,244
  5. Step 5: Solve for x
    x = 619,624,014,244/582,620
  6. Step 6: Final answer
    x = 1,063,513.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.